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Chapter 6: Q.27 (page 356)

A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a) 13%

(b) 20%

(c) 45%

(d) 55%

(e) 80%

Short Answer

Expert verified

The percent of households have more cars than the garage can hold is option (b)20%.

Step by step solution

01

Given Information

The probability model if we ignore the few households that own more than 5 cars.

02

Explanation

We must calculate the percentage of homes with more cars than the (two-car) garage can accommodate, which equals toX>2

Add the corresponding probabilities:

localid="1649915803257" P(X>2)=P(X=3)+P(X=4)+P(X=5)=0.13+0.05+0.02=0.20=20%

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Most popular questions from this chapter

Refer to the previous Check Your Understanding (page 390 ) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined X=the number of Patti's correct guesses.

1. Find μX. Interpret this value in context.

2. Find localid="1649452775386" σX. Interpret this value in context.

Binomial setting? A binomial distribution will be approximately correct as a model for one of these two sports settings and not for the other. Explain why by briefly discussing both settings. (a) A National Football League kicker has made 80%of his field-goal attempts in the past. This season he attempts 20field goals. The attempts differ widely in the distance, angle, wind, and so on. (b) A National Basketball Association player has made 80%of his free-throw attempts in the past. This season he takes 150free throws. Basketball free throws are always attempted from 15feet away with no interference from other players

The mean of Tis

(a)110

(b)140

(c)180

(d)195

(e)250

North Carolina State University posts the grade distributions for its courses online.3Students in Statistics 101in a recent semester received 26%As,42%Bs,20%Cs,10%Ds, and 2%Fs. Choose a Statistics 101student at random. The student’s grade on a four-point scale (with A=4) is a discrete random variable Xwith this probability distribution:

Write the event “the student got a grade worse than C” in terms of values of the random variable X. What is the probability of this event?

Compute and interpret the standard deviation ofX.
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